Quoting "Phil Evans" <[email protected]>:


Can anyone explain what Zbyszek Otwinowski means by Chi squared?

If I understand properly, CHI**2 value as used in Scalepack is:
SUM(<I>-Ij)**2/SUMsigma(I)**2 (I have to use formula editor to write it properly, but the idea is clear) and is useful in exhibiting and detection of systematic errors. Intuitively this value will be close to 1.0 if only counting statistics contribute to errors in measurements of I. Drawing "CHI**2" distribution as a function of various values such as frame number, shell of resolution, intensity of reflection etc. may show very interesting things related to the status of systematic errors during data collection. In the case of absence of systematic errors and radiation decay and in presence of a stable X-ray beam these distributions will be featureless and their value will be dependent on a counting statistics, quality
of a detector and absorption of a crystal mainly.
Systematic errors of various sources change these distributions in a sensible way. Despite the fact that it is impossible to correct systematic errors, understanding of CHI**2 distributions lead to better understanding of the experiment and in most cases these systematic errors can be eliminated leading to a "perfect" data shaped mostly by a counting statistics. "CHI**2" distributions a la Otwinowsky - Minor (or else, I also do not know if Zbyszek Otwinovsky developed it by himself or adopted from earlier sources),is as used in Scalepack an instrument of a great power.
FF

Dr  Felix Frolow
Professor of Structural Biology and Biotechnology
Department of Molecular Microbiology
and Biotechnology
Tel Aviv University 69978, Israel

Acta Crystallographica D, co-editor

e-mail: [email protected]
Tel:  ++972-3640-8723
Fax: ++972-3640-9407
Cellular: 0547 459 608




I can't find a definition in any of his papers (though I may have missed it). Is there a reference?

It doesn't seem obviously related to the chi squared distribution ("In probability theory and statistics, the chi-square distribution (also chi-squared orχ²-distribution) with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. " http://en.wikipedia.org/wiki/Chi-square_distribution)

Phil


On 29 Jun 2010, at 21:14, Felix Frolow wrote:

Graphical information from Scalepack as used in HKL2000 is of unprecedented
help to detect anomalous signal. Anomalous detection for S anomalous data using CHI**2 and Rfactor statistics for reflections with averaged and separated Bijvoet pairs is attached. It is very well described in HKL2000 manual. There is nothing special about data collection (strategy was used) and measurement was relatively fast (4 h on MicroMax007 and RaxisIV++). BTW Rfactor is 1.9% with separated Bijvoet reflections and 2.6% with averaged


BTW James Holton website calculate for this case 0.078 crystal

Dr  Felix Frolow
Professor of Structural Biology and Biotechnology
Department of Molecular Microbiology
and Biotechnology
Tel Aviv University 69978, Israel

Acta Crystallographica D, co-editor

e-mail: [email protected]
Tel:  ++972-3640-8723
Fax: ++972-3640-9407
Cellular: 0547 459 608








Quoting "Bernhard Rupp" <[email protected]>:

I second the hkl2map/SHELXCDE approach. Two complete examples
explaining how to do this for MAD and S-SAD cases are in my book.
I wish to emphasize the importance of
a) running enough trials
b) careful selection of resolution cutoffs
c) look at the solution distribution
d) play with SHELXE parameters.
The hkl2map graphs are enormously helpful for this purpose.

BR
-----Original Message-----
From: CCP4 bulletin board [mailto:[email protected]] On Behalf Of Tim
Gruene
Sent: Tuesday, June 29, 2010 2:29 AM
To: [email protected]
Subject: Re: [ccp4bb] measure of anamolous signal

Dear Murugan,

you can use the program hkl2map from Thomas Schneider, available at
http://webapps.embl-hamburg.de/hkl2map/
It's a graphical interface to the programs shelx c/d/e which are available
from http://shelx.uni-ac.gwdg.de/SHELX/index.html

With SAD data you want to look at the d"/sigma line at the end of the shelxc
output. Where that drops below about 1.3 is approximately where your
anomalous signal ends. You might get slightly improved statistics with xprep
instead of shelxc, but xprep is not free and you have to get a copy from
Bruker-AXS.

Tim

On Tue, Jun 29, 2010 at 02:35:29PM +0530, Vandu Murugan wrote:
Dear all,
  I have collected a 2.7 angstrom home source data with Cu-Kalpha
source for a protein with 6 cysteines, with a multiplicity of around
23.  I need to know, is there any significant anamolous signal present
in the data set, since there is no good model for my protein.  Can any
one tell, which program to run, and what parameter to see?  Thanks in
advance.

cheers,
Murugan

--
--
Tim Gruene
Institut fuer anorganische Chemie
Tammannstr. 4
D-37077 Goettingen

GPG Key ID = A46BEE1A




Dr  Felix Frolow
Professor of Structural Biology and Biotechnology
Department of Molecular Microbiology
and Biotechnology
Tel Aviv University 69978, Israel

Acta Crystallographica D, co-editor

e-mail: [email protected]
Tel:  ++972-(0)-3640-8723
Cel:  ++972-0547-459-608
Fax: ++972-(0)-3640-9407<detectionOfAnomalousSignalBy Scalepack-HKL2000.pdf>





Dr  Felix Frolow
Professor of Structural Biology and Biotechnology
Department of Molecular Microbiology
and Biotechnology
Tel Aviv University 69978, Israel

Acta Crystallographica D, co-editor

e-mail: [email protected]
Tel:  ++972-(0)-3640-8723
Cel:  ++972-0547-459-608
Fax:  ++972-(0)-3640-9407

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